Regularity Properties of Fourier Integral Operators

Andreas Seeger, Christopher D. Sogge, Elias M. Stein

Type: Article

Publication Date: 1991-09-01

Citations: 269

DOI: https://doi.org/10.2307/2944346

View Publication

Locations

Annals of Mathematics - View

Similar Works

Action	Title	Year	Authors
+	Regularity of Integral Operators	2004	Yong-Kum Cho
+	Endpoint regularity of general Fourier integral operators	2025	Wenjuan Li Zhu Xiang-rong
+	Fourier integral operators	1980	François Trèves
+	Fourier integral operators	2011	Gregory Eskin
+	Fourier Integral Operators	1993	Otto Liess
+	Fourier integral operators	2012	Maciej Zworski
+	Fourier Integral Operators. I	1994	Lars Hörmander
+	Fourier Integral Operators	2017	Christopher D. Sogge
+	L「上p上」 boundedness of Fourier integral operators	1982	Robert M. Beals
+	𝐿^{𝑝} boundedness of Fourier integral operators	1982	Robert M. Beals
+	Properties of Integral Operators	1996	Yûsaku Komatu
+	Regularity of the Fourier transform on spaces of homogeneous distributions	2006	Philip T. Gressman Elias M. Stein
+ PDF Chat	Local smoothing of Fourier integral operators and Carleson-Sjölin estimates	1993	Gerd Mockenhaupt Andreas Seeger Christopher D. Sogge
+	Local Smoothing of Fourier Integral Operators and Carleson-Sjolin Estimates	1993	Gerd Mockenhaupt Andreas Seeger Christopher D. Sogge
+	Lp boundedness of certain Fourier integral operators	1980	Robert M. Beals
+	Type conditions and 𝐿^{𝑝}-𝐿^{𝑝}, 𝐿^{𝑝}-𝐿^{𝑝′} regularity of Fourier integral operators	2003	Andrew Comech
+	Boundedness and Convergence of Fourier Integrals	2008	Loukas Grafakos
+	Elements of functional calculus andL 2 regularity for some classes of fourier integral operators	2006	Norberto Laghi
+	L2-boundedness and L2-compactness of a class of Fourier integral operators	2006	Bekkai Messirdi Abderrahmane Senoussaoui
+	Integrability theorems for Fourier series	1966	Richard Askey Stephen Wainger

Works That Cite This (264)

Action	Title	Year	Authors
+ PDF Chat	Maximal Fourier integrals and multilinear multiplier operators	2016	Hanh Van Nguyen
+	A Seeger–Sogge–Stein theorem for bilinear Fourier integral operators	2014	Salvador Rodríguez-López David Rule Wolfgang Staubach
+	Maximal functions associated with nonisotropic dilations of hypersurfaces in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math>	2018	Wenjuan Li
+	Differential structure on the dual of a compact Lie group	2020	Véronique Fischer
+ PDF Chat	Sharp Local Smoothing Estimates for Fourier Integral Operators	2021	David Beltran Jonathan Hickman Christopher D. Sogge
+	A local-to-global boundedness argument and Fourier integral operators	2019	Michael Ruzhansky Mitsuru Sugimoto
+	Continuous curvelet transform	2005	Emmanuel J. Candès David L. Donoho
+ PDF Chat	Оценки и спектральные асимптотики для систем с кратностью	2005	Илья Владимирович Камоцкий Il'ya Vladimirovich Kamotskii Илья Владимирович Камоцкий Il'ya Vladimirovich Kamotskii Михаил Владимирович Ружанский Mikhail Vladimirovich Ruzhansky
+ PDF Chat	Rough Pseudodifferential Operators on Hardy Spaces for Fourier Integral Operators II	2022	Jan Rozendaal
+ PDF Chat	Space-Time Estimates on Damped Fractional Wave Equation	2014	Jiecheng Chen Dashan Fan Chunjie Zhang

Works Cited by This (23)

Action	Title	Year	Authors
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein
+	A note on Bochner-Riesz operators	1979	Antonio Cordóba
+	The analysis of linear partial differential operators	1990	Lars Hörmander
+	Introduction to Pseudodifferential and Fourier Integral Operators	1980	François Trèves
+	Estimates for singular radon transforms and pseudodifferential operators with singular symbols	1990	Allan Greenleaf Günther Uhlmann
+	Spatially inhomogeneous pseudodifferential operators, I	1974	Richard Beals Charles Fefferman
+	𝐿^{𝑝} boundedness of Fourier integral operators	1982	Robert M. Beals
+	The weak typeL 1 convergence of eigenfunction expansions for pseudodifferential operators	1988	Francis Michael Christ Christopher D. Sogge
+	L p -L p?-Estimates for Fourier integral operators related to hyperbolic equations	1977	Philip Brenner
+ PDF Chat	Fourier integral operators. I	1971	Lars Hörmander